title: Nonlinear control systems: from theory through algorithms to program package
reg no: ETF5405
project type: Estonian Science Foundation research grant
subject: 2.9. System Engineering and Computer Technology
status: accepted
institution: Institute of Cybernetics at Tallinn Technical University
head of project: Ülle Kotta
duration: 01.01.2003 - 31.12.2006
description: The main goal is to develop a toolbox for nonlinear control systems using the algebraic formalism developed by us within the previous ETF Grants (N2244, N3137 and N3738) which basis on the classification of te differential forms related to the control system and works in the environment of symbolic comutation package Mathematica. The developed package will support the solution of different modelling, analysis and synthesis problems for nonlinear control systems. The prerequisite for the development of the toolbox is the extension of the most important results up to the algorithms that can be implemented in Mathematica. In 2003 we plan to solve the following problems.

Comparision of different existing realizability conditions for NARMA model and obtaining new conditions, that are easy to implement as a Mathematica function. Comparison of different equivalence conditions for NARMA model. Finding the relationship between the structure of the input-output model and the state space model for associative dynamic models and neural-network-based models. Stability margin in directions of reflection vectors and determination of the stability radius via reflection vectors. Finding the intrinsic coordinate-free solavability conditions for dynamic disturbance decoupling problem that do not depend on the applied algorithm.

project group
no name institution position  
1.Ülle KottaInstitute of Cybernetics at Tallinn Technical UniversityVice Director 
2.Riho LeppIoC at TTUsen. researcher 
3.Tanel MullariIoC at TTUresearcher 
4.Ülo NurgesIoC at TTUsen. researcher 
5.Sven NõmmIoC at TTUresearcher 
6.Maris TõnsoIoC at TTUresearcher